(m^2n)^2(2mn^5)^4 eching

$$( m ^ { 2 } n ) ^ { 2 } ( 2 m n ^ { 5 } ) ^ { 4 }$$

Baholash

$$16m^{8}n^{22}$$

Yechim qadamlari

\left(m^{2}n\right)^{2} ni kengaytirish.

$$\left(m^{2}\right)^{2}n^{2}\times \left(2mn^{5}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$m^{4}n^{2}\times \left(2mn^{5}\right)^{4}$$

\left(2mn^{5}\right)^{4} ni kengaytirish.

$$m^{4}n^{2}\times 2^{4}m^{4}\left(n^{5}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 4 ni ko‘paytirib, 20 ni oling.

$$m^{4}n^{2}\times 2^{4}m^{4}n^{20}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$m^{4}n^{2}\times 16m^{4}n^{20}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 4 ni qo‘shib, 8 ni oling.

$$m^{8}n^{2}\times 16n^{20}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 20 ni qo‘shib, 22 ni oling.

$$m^{8}n^{22}\times 16$$

Kengaytirish

$$16m^{8}n^{22}$$

Yechim qadamlari

\left(m^{2}n\right)^{2} ni kengaytirish.

$$\left(m^{2}\right)^{2}n^{2}\times \left(2mn^{5}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$m^{4}n^{2}\times \left(2mn^{5}\right)^{4}$$

\left(2mn^{5}\right)^{4} ni kengaytirish.

$$m^{4}n^{2}\times 2^{4}m^{4}\left(n^{5}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 4 ni ko‘paytirib, 20 ni oling.

$$m^{4}n^{2}\times 2^{4}m^{4}n^{20}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$m^{4}n^{2}\times 16m^{4}n^{20}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 4 ni qo‘shib, 8 ni oling.

$$m^{8}n^{2}\times 16n^{20}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 20 ni qo‘shib, 22 ni oling.

$$m^{8}n^{22}\times 16$$